Mathematics Competency Assurance Documents

2nd Grade / P2 (7-yr. olds) Mathematics Standard

Number Sense Standards:

N/P2.1 Demonstrate number sense to 1000 through modeling, applying and communicating muliple representations (drawings, concrete materials, & symbols) and using order relations

Whole Number Operations & Computation Standards:

C/P2.1 Demonstrate basic math facts using multiple strategies (addition and subtraction facts to 18)

C/P2.2 Determine appropriate operation (addition or subtraction) in real-life applications

Fractions & Decimals:

Skills, Concepts, & Relationships

• Recognize, identify, count, & write numbers (& number words) to 1000
• Count backwards from 100
• Compare & order whole numbers (<,>,=) to 1000
• Understand place value (to 1000s)
• Skip count to 100 (by 2s, 5s, & 10s)
• Recognize odd & even numbers
• Recognize ordinal numbers
• Develop applying number sense in real-life situations
• Develop giving reasonable estimates

Skills, Concepts, & Relationships

• Generate fact families using inverse operations (4+2=6, 6-4=2)
• Know addition and subtraction facts to 18
• Add and subtract 2-digit & 3-digit numbers without regrouping
• Develop doing column addition
• Develop finding missing addends
• Introduce adding and subtracting money
• Introduce multiplication with use of manipulatives and arrays (facts to 5s)
• Introduce use of number sentences to solve one & two step story problems
• Introduce solving problems with extra unneeded information
• Introduce using a calculator to explore number patterns, and to add & subtract
• Introduce estimating sums and differences
• Introduce using a variety of mathematics vocabulary (plus, add, find the sum, minus, subtract, find the difference, etc.)

Skills, Concepts, & Relationships

• Recognize and write 1/2, 1/3, 1/4, 1/6
• Introduce decimals to represent money

Geometry Standards:

G/P2.1 Identify and classify similar plane and solid figures in various orientations

G/P2.2 Create and extend geometric patterns using concrete/pictorial models and recognize their use in the real world

Measurement Standards:

M/P2.1 Use a variety of units, tools, and methods to measure (including estimation)

M/P2.2 Compare & order weight/mass and length

Skills, Concepts, & Relationships

• Sort & identify 3-D figures by attributes (faces, edges, bases) & in different orientations (sphere, cube, cylinder, rect. solid, pyramid, cone)
• Introduce exploring plane figures and closed curves
• Introduce perimeter
• Introduce area (surface & surface units)
• Introduce exploring congruence
• Develop using Venn diagrams
• Introduce constructing & comparing 3-D and/or 2-D shapes
• Introduce exploring symmetry

Skills, Concepts, & Relationships

• Compare & order objects by size, length (measure to the nearest inch or centimeter), & mass
• Identify, recognize, & compare the value of coins
• Count money
• Tell time to 5-minute intervals
• Review calendar concepts
• Develop estimating length, weight/mass & temperature in standard units
• Develop using metric/customary measures (length, weight/mass, temperature)
• Introduce use of metric/customary measures of capacity (cup, pint, quart, gallon)
• Introduce choosing the appropriate measurement tools
• Develop estimating time
• Introduce making change to $1.00
• Introduce estimating amounts of money
• Introduce time to 1-minute intervals
• Introduce elapsed time to (to hour)
• Develop distinguishing between am & pm

Probability/Statistics Standards:

PS/P2.1 Read & interpret displays of data (bar graphs, pictographs).

Algebraic Ideas Standards:
 

AI/P2.1 Create, extend and communicate simple patterns.

Problem Solving Standards:
 

PSS/P2.1 Gather & organize information to solve a problem

Skills, Concepts, & Relationships

• Develop collecting, organizing, & interpreting data
• Develop making predictions
• Develop/Model interpreting data
• Introduce constructing own graphs (pictograph, bar graph)
• Introduce graphing software
• Introduce/Develop using & reading line plots, charts/tables, graphs & schedules
• Develop using tally marks
• Introduce surveys
• Develop conducting simple probability experiments
• Develop exploring concepts of chance
• Develop likely (near always) & unlikely (near never) outcomes
• Develop exploring combinations (example: If you have 3 shirts and 2 pairs of pants, how many different outfits can you make?)

Skills, Concepts, & Relationships

• Reproduce and extend a repeating pattern of numbers, shapes, etc.
• Develop using input/output tables (function machines) with basic addition/subtraction facts
• Develop investigating number patterns (skip counting to 100, odds, evens, etc.)
• Introduce identifying, describing, and analyzing patterns in real-life situations using pictures, symbols, & concrete objects (patterns in nature)
• Introduce strategies to develop logical thinking, deductive reasoning
• Introduce exploring unknowns and open sentences (simple equations) with basic addition and subtraction facts (5+__= 7)

Skills, Concepts, & Relationships

• Develop/Model appropriate problem solving strategies:
  • act out
  • use manipulatives
  • draw a picture
  • describe and discuss a problem
  • look for a pattern
  • guess & check
  • make an organized list
• Develop communicating strategies and solutions (math vocabulary and representations)
• Introduce generating 1-step story problems
• Introduce determining the reasonableness of answers